He reaction of the body to a dose of medicine can sometimes be represented by an equation of the form upper r equals upper m squared (startfraction upper c over 2 endfraction minus startfraction upper m over 3 endfraction )r= m2 c 2− m 3, where c is a positive constant and m is the amount of medicine absorbed in the blood. if the reaction is a change in blood pressure, r is measured in millimeters of mercury. if the reaction is a change in temperature, r is measured in degrees, and so on. find the amount of medicine to which the body is most sensitive by finding the value of m that maximizes the derivative startfraction dr over dm endfraction dr dm.